Standard Deviation Calculator
Kalulira chitsanzo kapena anthu standard deviation, kusiyanasiyana ndi pakati.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
Standard deviation measures how spread out a data set is around its mean: a small value means the numbers cluster tightly near the average, a large one means they are widely scattered. This calculator computes both the sample standard deviation (dividing the sum of squared deviations by n − 1, Bessel’s correction) and the population standard deviation (dividing by n), and reports the variance, mean, range and the sum of squared deviations it used. Choose sample when your numbers are a subset drawn from a larger group, and population when they are the entire group.
The method has four steps: find the mean, subtract it from each value to get the deviations, square those deviations and add them up, then divide by n − 1 (sample) or n (population) and take the square root. The square root returns the answer to the same units as the original data, which is why standard deviation is usually preferred over variance for interpretation.
Worked example: for 2, 4, 4, 4, 5, 5, 7, 9 the mean is 5. The squared deviations sum to 32, so the population variance is 32 ÷ 8 = 4 and the population standard deviation is √4 = 2; the sample version divides 32 by 7, giving about 4.57 and a standard deviation of roughly 2.14. The deviation table below shows each value’s distance from the mean and its squared deviation so you can follow the calculation.
Mafunso ofunsidwa nthawi zambiri
Kodi pali kusiyana kotani pakati pa sampling ndi standard deviation ya anthu?
The anthu formula amagawa summed squared deviation ndi n; sample formula amagawa ndi n - 1. The n - 1 (Bessel’s kubwezeretsa) amalipira kwa chakuti sample amafuna kulowetsa chikhulupiriro chabe kufalitsa weniweni wa anthu kuti anachokera.
N’chifukwa chiyani square deviation?
Squarering amachititsa zonse deviation zopindulitsa kuti iwo sakanachotsa, ndipo amalemera zosiyana zochuluka kwambiri. Kutenga square root pamapeto pake amabwerera kuyerekezera kwa oyambirira yunitsi ya deta.
Kodi ndingatani kuti ndiwerenge standard deviation ndi manja?
Pezani m'midzi, kuchotsa izo kuchokera pazosowa zonse kuti atenge zosagwirizana, squared onse zosagwirizana ndi kuwonjezera iwo, ndiye kugawa ndi n - 1 kwa msonkho kapena n kwa anthu ndi kulandira square root ya zotsatirazi.
Kodi ndi chiyani choyenera standard deviation?
Palibe mfundo yoti "ikhale yabwino" panthawi zonse - izi zimadalira mokwanira pa kukula ndi mfundo za deta yanu. Standard deviation imatanthauza kuti ndi yofanana ndi mfundo yapakati; mfundo yomweyo yomwe ndi yaying'ono pamitengo ya nyumba ingakhale yochuluka kwambiri pazoyeserera. Kusinthasintha kwa kusintha kumatanthauza kuti ndi gawo la mfundo yapakati yosawerengeka.
Kodi standard deviation ndi zero kapena woipa?
Ikhoza kukhala zero, zomwe zimachitika pamene ndalama zonse ndi zofanana ndipo palibe kufalitsa pa zonse. Sitha kukhala yoipa, chifukwa ndi mbewu ya square ya m'midzi ya squared mawerengedwe.
N’chifukwa chiyani kafukufuku wachitsanzo ayenera at least awiri mfundo?
The sample formula amagawa ndi n - 1, kotero imodzi mfundo adzagawa ndi zero ndi kuchoka undefined. A sample standard deviation amangokhala tanthauzo pamene inu muli awiri kapena zambiri zokambirana kuyerekezera.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
GET https://calculator.free/api/v1/standard-deviation/curl
curl "https://calculator.free/api/v1/standard-deviation/?numbers=9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4&type=sample"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/standard-deviation/?" + new URLSearchParams({
"numbers": "9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4",
"type": "sample"
}));
const data = await r.json();
console.log(data.results);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.